1637574117161 has 2 divisors, whose sum is σ = 1637574117162. Its totient is φ = 1637574117160.

The previous prime is 1637574117143. The next prime is 1637574117163. The reversal of 1637574117161 is 1617114757361.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1496754049561 + 140820067600 = 1223419^2 + 375260^2 .

It is a cyclic number.

It is not a de Polignac number, because 1637574117161 - 2³⁴ = 1620394247977 is a prime.

Together with 1637574117163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1637574117163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 818787058580 + 818787058581.

It is an arithmetic number, because the mean of its divisors is an integer number (818787058581).

Almost surely, 2^{1637574117161} is an apocalyptic number.

It is an amenable number.

1637574117161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1637574117161 is an equidigital number, since it uses as much as digits as its factorization.

1637574117161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 740880, while the sum is 50.

The spelling of 1637574117161 in words is "one trillion, six hundred thirty-seven billion, five hundred seventy-four million, one hundred seventeen thousand, one hundred sixty-one".